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136391760 = 24325189433
BaseRepresentation
bin10000010000100…
…10110001010000
3100111122102022200
420020102301100
5234404014020
621311203200
73244211421
oct1010226120
9314572280
10136391760
116aa9816a
1239816500
1322345bab
1414185648
15be92590
hex8212c50

136391760 has 60 divisors (see below), whose sum is σ = 458051412. Its totient is φ = 36370944.

The previous prime is 136391741. The next prime is 136391819. The reversal of 136391760 is 67193631.

136391760 is a `hidden beast` number, since 1 + 3 + 639 + 17 + 6 + 0 = 666.

136391760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 94711824 + 41679936 = 9732^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93997 + ... + 95436.

Almost surely, 2136391760 is an apocalyptic number.

136391760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136391760 is an abundant number, since it is smaller than the sum of its proper divisors (321659652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136391760 is a wasteful number, since it uses less digits than its factorization.

136391760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189452 (or 189443 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 136391760 is about 11678.6882825084. The cubic root of 136391760 is about 514.7496316567.

The spelling of 136391760 in words is "one hundred thirty-six million, three hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 189433 378866 568299 757732 947165 1136598 1515464 1704897 1894330 2273196 2841495 3030928 3409794 3788660 4546392 5682990 6819588 7577320 8524485 9092784 11365980 13639176 15154640 17048970 22731960 27278352 34097940 45463920 68195880 136391760